Partial and Complete Observables for Hamiltonian Constrained Systems

Details Partial and Complete Observables for Hamiltonian Constrained Systems Partial and Complete Observables for Hamiltonian Constrained Systems

2004-11-02

arxiv.org/abs/gr-qc/0411013v1

Gen.Rel.Grav.39:1891-1927,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

38 pages

Scientific paper

10.1007/s10714-007-0495-2

We will pick up the concepts of partial and complete observables introduced by Rovelli in order to construct Dirac observables in gauge systems. We will generalize these ideas to an arbitrary number of gauge degrees of freedom. Different methods to calculate such Dirac observables are developed. For background independent field theories we will show that partial and complete observables can be related to Kucha\v{r}'s Bubble Time Formalism. Moreover one can define a non-trivial gauge action on the space of complete observables and also state the Poisson brackets of these functions. Additionally we will investigate, whether it is possible to calculate Dirac observables starting with partially invariant partial observables, for instance functions, which are invariant under the spatial diffeomorphism group.

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